課程名稱︰財政學二
課程性質︰系訂必修
課程教師︰宋玉生
開課系所︰經濟系
考試時間︰2005.4.20
試題 :
National Taiwan University Econ Department
Public Finance Midterm Exam
1. (Excess Burden 30%)
John has a weekly income of I = 200, and spends all this money on two hobbies
: working out at gym (G) and eating Subway sandwiches (S).
John’s preference can be represented by the utility function
U(G,S) = G．S
Suppose entry fee of the gym is PG = 10,
while the price of a sandwich is PS = 5.
‧ If Subway raises the sandwich price to $10, how much is John’s loss, as
defined by compensating variations (CV) ?
‧ Please do the calculation again using equivalent variations (EV)?
‧ How much more revenues will Subway generate with this price change?
2. (Tax Incidence 30%)
An antique shop has a fixed supply of 200 paintings:
S = 200
Meanwhile, demand for these paintings is:
D = 400 － P
‧ What is the equilibrium market price P0?
‧ The government now decides to impose a 50% price tax on antique sales.
What would then be the tax-inclusive price P' consumers pay for each
painting?
‧ How much tax revenue can government collect?
3. (Optimal Taxation 40%)
Vivian consumes two goods x and y, and has utility
U(x,y) = min{2x,y}
Let her income be I = 300, and original prices of the goods be:
Px = Py = 1
Now government needs to collect tax revenue $100 with quantity tax t on x
only.
‧ How much should t be?
‧ How much does Vivian suer from this commodity tax, as defined by CV?
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陷自己於忙碌之中 也許不寂寞但卻很孤獨......
陪伴的人也許很多 不孤獨卻不代表不寂寞......
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